Question

Which of the following is the slope intercept form of the equation of this line

Answer 1

Answer:

The slope-intercept form of the equation of this line is:

$y=-x$

Hence, option 'c' is true.

Step-by-step explanation:

From the line equation, let us take two points

• (1, -1)

• (-1, 1)

Finding the slope between two points

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(1,\:-1\right),\:\left(x_2,\:y_2\right)=\left(-1,\:1\right)$

$m=\frac{1-\left(-1\right)}{-1-1}$

$m=-1$

From the line graph, we can determine the y-intercept by setting x=0 and checking the y-value at x=0

at x=0, y=0

Thus, (0, 0) is the y-intercept

We know that the slope-intercept form of the line equation is

y=mx+b

where

• m=slope

• b=y-intercept

As we have already determined m=-1 and y-intercept=b=0

so substituting m=-1, b=0 in the slope-intercept form of the line equation

$y=mx+b$

$y=(-1)x+0$

$y=-x$

Thus, the slope-intercept form of the equation of this line is:

$y=-x$

Hence, option 'c' is true.